85121361 has 40 divisors (see below), whose sum is σ = 137925480. Its totient is φ = 52005888.

The previous prime is 85121357. The next prime is 85121383. The reversal of 85121361 is 16312158.

It can be written as a sum of positive squares in 4 ways, for example, as 13549761 + 71571600 = 3681^2 + 8460^2 .

It is not a de Polignac number, because 85121361 - 2² = 85121357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85121341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240961 + ... + 241313.

It is an arithmetic number, because the mean of its divisors is an integer number (3448137).

Almost surely, 2^85121361 is an apocalyptic number.

85121361 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85121361 is a deficient number, since it is larger than the sum of its proper divisors (52804119).

85121361 is a wasteful number, since it uses less digits than its factorization.

85121361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 85121361 is about 9226.1238339836. The cubic root of 85121361 is about 439.8921240360.

The spelling of 85121361 in words is "eighty-five million, one hundred twenty-one thousand, three hundred sixty-one".