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1973085 = 35199661
BaseRepresentation
bin111100001101101011101
310201020120020
413201231131
51001114320
6110142353
722525302
oct7415535
93636506
101973085
111128454
127b19b9
1354110a
143950a9
1528e940
hex1e1b5d

1973085 has 16 divisors (see below), whose sum is σ = 3177600. Its totient is φ = 1045440.

The previous prime is 1973053. The next prime is 1973087. The reversal of 1973085 is 5803791.

It is not a de Polignac number, because 1973085 - 25 = 1973053 is a prime.

1973085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (198600).

21973085 is an apocalyptic number.

1973085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1973085 is a deficient number, since it is larger than the sum of its proper divisors (1204515).

1973085 is a wasteful number, since it uses less digits than its factorization.

1973085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1973085 is about 1404.6654405943. The cubic root of 1973085 is about 125.4243709771.

The spelling of 1973085 in words is "one million, nine hundred seventy-three thousand, eighty-five".

Divisors: 1 3 5 15 199 597 661 995 1983 2985 3305 9915 131539 394617 657695 1973085