157910961 has 16 divisors (see below), whose sum is σ = 227755584. Its totient is φ = 96742464.

The previous prime is 157910953. The next prime is 157910981. The reversal of 157910961 is 169019751.

157910961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157910961 - 2³ = 157910953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (157910981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (14234724).

It is the magic constant of a 681 × 681 magic square.

Almost surely, 2^157910961 is an apocalyptic number.

It is an amenable number.

157910961 is a deficient number, since it is larger than the sum of its proper divisors (69844623).

157910961 is a wasteful number, since it uses less digits than its factorization.

157910961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18080.

The product of its (nonzero) digits is 17010, while the sum is 39.

The square root of 157910961 is about 12566.2628096025. The cubic root of 157910961 is about 540.5104466925.

The spelling of 157910961 in words is "one hundred fifty-seven million, nine hundred ten thousand, nine hundred sixty-one".