85797972 has 36 divisors (see below), whose sum is σ = 233562420. Its totient is φ = 26399232.

The previous prime is 85797967. The next prime is 85797973. The reversal of 85797972 is 27979758.

It can be written as a sum of positive squares in 2 ways, for example, as 49364676 + 36433296 = 7026^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×85797972² = 14722583998625568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85797973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91197 + ... + 92132.

It is an arithmetic number, because the mean of its divisors is an integer number (6487845).

Almost surely, 2^85797972 is an apocalyptic number.

It is an amenable number.

85797972 is an abundant number, since it is smaller than the sum of its proper divisors (147764448).

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

85797972 is a wasteful number, since it uses less digits than its factorization.

85797972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183352 (or 183347 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 85797972 is about 9262.7194710841. The cubic root of 85797972 is about 441.0545846946.

The spelling of 85797972 in words is "eighty-five million, seven hundred ninety-seven thousand, nine hundred seventy-two".