85460121 has 24 divisors (see below), whose sum is σ = 127380864. Its totient is φ = 55170720.

The previous prime is 85460117. The next prime is 85460131. The reversal of 85460121 is 12106458.

85460121 is a `hidden beast` number, since 8 + 54 + 601 + 2 + 1 = 666.

It is not a de Polignac number, because 85460121 - 2² = 85460117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85460101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89770 + ... + 90716.

It is an arithmetic number, because the mean of its divisors is an integer number (5307536).

Almost surely, 2^85460121 is an apocalyptic number.

It is an amenable number.

85460121 is a deficient number, since it is larger than the sum of its proper divisors (41920743).

85460121 is a wasteful number, since it uses less digits than its factorization.

85460121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85460121 is about 9244.4643435950. The cubic root of 85460121 is about 440.4749021876.

Subtracting from 85460121 its product of nonzero digits (1920), we obtain a triangular number (85458201 = T₁₃₀₇₃).

Adding to 85460121 its reverse (12106458), we get a palindrome (97566579).

The spelling of 85460121 in words is "eighty-five million, four hundred sixty thousand, one hundred twenty-one".