85972633 has 2 divisors, whose sum is σ = 85972634. Its totient is φ = 85972632.

The previous prime is 85972603. The next prime is 85972639. The reversal of 85972633 is 33627958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 16216729 = 8352^2 + 4027^2 .

It is a cyclic number.

It is not a de Polignac number, because 85972633 - 2¹³ = 85964441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85972633.

It is not a weakly prime, because it can be changed into another prime (85972639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42986316 + 42986317.

It is an arithmetic number, because the mean of its divisors is an integer number (42986317).

Almost surely, 2^85972633 is an apocalyptic number.

It is an amenable number.

85972633 is a deficient number, since it is larger than the sum of its proper divisors (1).

85972633 is an equidigital number, since it uses as much as digits as its factorization.

85972633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 43.

The square root of 85972633 is about 9272.1428483388. The cubic root of 85972633 is about 441.3536703180.

The spelling of 85972633 in words is "eighty-five million, nine hundred seventy-two thousand, six hundred thirty-three".