85366377 has 12 divisors (see below), whose sum is σ = 123535620. Its totient is φ = 56805408.

The previous prime is 85366361. The next prime is 85366399. The reversal of 85366377 is 77366358.

85366377 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 637 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35748441 + 49617936 = 5979^2 + 7044^2 .

It is not a de Polignac number, because 85366377 - 2⁴ = 85366361 is a prime.

It is a super-2 number, since 2×85366377² = 14574836644212258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85366327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3502 + ... + 13527.

It is an arithmetic number, because the mean of its divisors is an integer number (10294635).

Almost surely, 2^85366377 is an apocalyptic number.

It is an amenable number.

85366377 is a deficient number, since it is larger than the sum of its proper divisors (38169243).

85366377 is a wasteful number, since it uses less digits than its factorization.

85366377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17592 (or 17589 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 85366377 is about 9239.3926748461. The cubic root of 85366377 is about 440.3137861563.

The spelling of 85366377 in words is "eighty-five million, three hundred sixty-six thousand, three hundred seventy-seven".