825972157 has 2 divisors, whose sum is σ = 825972158. Its totient is φ = 825972156.

The previous prime is 825972139. The next prime is 825972163. The reversal of 825972157 is 751279528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802362276 + 23609881 = 28326^2 + 4859^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825972157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825972107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412986078 + 412986079.

It is an arithmetic number, because the mean of its divisors is an integer number (412986079).

Almost surely, 2^825972157 is an apocalyptic number.

It is an amenable number.

825972157 is a deficient number, since it is larger than the sum of its proper divisors (1).

825972157 is an equidigital number, since it uses as much as digits as its factorization.

825972157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 352800, while the sum is 46.

The square root of 825972157 is about 28739.7313313816. The cubic root of 825972157 is about 938.2569770529.

The spelling of 825972157 in words is "eight hundred twenty-five million, nine hundred seventy-two thousand, one hundred fifty-seven".