85420965 has 96 divisors (see below), whose sum is σ = 172302336. Its totient is φ = 35925120.

The previous prime is 85420961. The next prime is 85420981. The reversal of 85420965 is 56902458.

It is not a de Polignac number, because 85420965 - 2² = 85420961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85420961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 523974 + ... + 524136.

It is an arithmetic number, because the mean of its divisors is an integer number (1794816).

Almost surely, 2^85420965 is an apocalyptic number.

It is an amenable number.

85420965 is an abundant number, since it is smaller than the sum of its proper divisors (86881371).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85420965 is a wasteful number, since it uses less digits than its factorization.

85420965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 85420965 is about 9242.3462930146. The cubic root of 85420965 is about 440.4076198503.

The spelling of 85420965 in words is "eighty-five million, four hundred twenty thousand, nine hundred sixty-five".