93654972961 has 27 divisors (see below), whose sum is σ = 105555915633. Its totient is φ = 83032330920.

The previous prime is 93654972899. The next prime is 93654972977. The reversal of 93654972961 is 16927945639.

The square root of 93654972961 is 306031.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 93654972961 - 2¹³ = 93654964769 is a prime.

It is a super-2 number, since 2×93654972961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93654972961.

It is not an unprimeable number, because it can be changed into a prime (93654972161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144752340 + ... + 144752986.

Almost surely, 2^93654972961 is an apocalyptic number.

93654972961 is the 306031-st square number.

93654972961 is the 153016-th centered octagonal number.

It is an amenable number.

93654972961 is a deficient number, since it is larger than the sum of its proper divisors (11900942672).

93654972961 is an frugal number, since it uses more digits than its factorization.

93654972961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 701 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 61.

The spelling of 93654972961 in words is "ninety-three billion, six hundred fifty-four million, nine hundred seventy-two thousand, nine hundred sixty-one".