Search a number
-
+
3973725 = 33527292
BaseRepresentation
bin1111001010001001011101
321110212221000
433022021131
52004124400
6221100513
745530130
oct17121135
97425830
103973725
112274578
1213b7739
13a91922
14756217
15537600
hex3ca25d

3973725 has 72 divisors (see below), whose sum is σ = 8640320. Its totient is φ = 1753920.

The previous prime is 3973691. The next prime is 3973727. The reversal of 3973725 is 5273793.

It is a happy number.

It is not a de Polignac number, because 3973725 - 26 = 3973661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3973725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137011 + ... + 137039.

Almost surely, 23973725 is an apocalyptic number.

3973725 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3973725 is an abundant number, since it is smaller than the sum of its proper divisors (4666595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3973725 is a wasteful number, since it uses less digits than its factorization.

3973725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 3973725 is about 1993.4204273058. The cubic root of 3973725 is about 158.3917666749.

The spelling of 3973725 in words is "three million, nine hundred seventy-three thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 29 35 45 63 75 87 105 135 145 175 189 203 225 261 315 435 525 609 675 725 783 841 945 1015 1305 1575 1827 2175 2523 3045 3915 4205 4725 5075 5481 5887 6525 7569 9135 12615 15225 17661 19575 21025 22707 27405 29435 37845 45675 52983 63075 88305 113535 137025 147175 158949 189225 264915 441525 567675 794745 1324575 3973725