85440957 has 32 divisors (see below), whose sum is σ = 136012800. Its totient is φ = 47663280.

The previous prime is 85440911. The next prime is 85440961. The reversal of 85440957 is 75904458.

It is not a de Polignac number, because 85440957 - 2⁶ = 85440893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85440977) 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 31 ways as a sum of consecutive naturals, for example, 43282 + ... + 45212.

It is an arithmetic number, because the mean of its divisors is an integer number (4250400).

Almost surely, 2^85440957 is an apocalyptic number.

It is an amenable number.

85440957 is a deficient number, since it is larger than the sum of its proper divisors (50571843).

85440957 is a wasteful number, since it uses less digits than its factorization.

85440957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 85440957 is about 9243.4277732884. The cubic root of 85440957 is about 440.4419749697.

The spelling of 85440957 in words is "eighty-five million, four hundred forty thousand, nine hundred fifty-seven".