85980753 has 6 divisors (see below), whose sum is σ = 124194434. Its totient is φ = 57320496.

The previous prime is 85980733. The next prime is 85980761. The reversal of 85980753 is 35708958.

85980753 is a `hidden beast` number, since 8 + 598 + 0 + 7 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79869969 + 6110784 = 8937^2 + 2472^2 .

It is not a de Polignac number, because 85980753 - 2²⁶ = 18871889 is a prime.

It is a super-3 number, since 3×85980753³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85980699 and 85980708.

It is not an unprimeable number, because it can be changed into a prime (85980733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4776700 + ... + 4776717.

Almost surely, 2^85980753 is an apocalyptic number.

It is an amenable number.

85980753 is a deficient number, since it is larger than the sum of its proper divisors (38213681).

85980753 is a wasteful number, since it uses less digits than its factorization.

85980753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553423 (or 9553420 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85980753 is about 9272.5807087348. The cubic root of 85980753 is about 441.3675649682.

The spelling of 85980753 in words is "eighty-five million, nine hundred eighty thousand, seven hundred fifty-three".