Search a number
-
+
97712541 = 334577919
BaseRepresentation
bin1011101001011…
…11100110011101
320210212022102000
411310233212131
5200003300131
613410152513
72264354133
oct564574635
9223768360
1097712541
1150179973
1228882739
1317322594
14cd97753
1588a1ce6
hex5d2f99d

97712541 has 16 divisors (see below), whose sum is σ = 145094400. Its totient is φ = 64990944.

The previous prime is 97712539. The next prime is 97712557. The reversal of 97712541 is 14521779.

It is a happy number.

It is not a de Polignac number, because 97712541 - 21 = 97712539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97712496 and 97712505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97712501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8380 + ... + 16298.

It is an arithmetic number, because the mean of its divisors is an integer number (9068400).

Almost surely, 297712541 is an apocalyptic number.

It is an amenable number.

97712541 is a deficient number, since it is larger than the sum of its proper divisors (47381859).

97712541 is a wasteful number, since it uses less digits than its factorization.

97712541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8379 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 97712541 is about 9884.9654020639. The cubic root of 97712541 is about 460.5924015367.

The spelling of 97712541 in words is "ninety-seven million, seven hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 9 27 457 1371 4113 7919 12339 23757 71271 213813 3618983 10856949 32570847 97712541