157828969 has 9 divisors (see below), whose sum is σ = 167886327. Its totient is φ = 148343904.

The previous prime is 157828949. The next prime is 157828981. The reversal of 157828969 is 969828751.

The square root of 157828969 is 12563.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122877225 + 34951744 = 11085^2 + 5912^2 .

It is not a de Polignac number, because 157828969 - 2²⁵ = 124274537 is a prime.

It is a super-2 number, since 2×157828969² = 49819966911205922, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (756).

It is not an unprimeable number, because it can be changed into a prime (157828949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213202 + ... + 213940.

Almost surely, 2^157828969 is an apocalyptic number.

157828969 is the 12563-rd square number.

157828969 is the 6282-nd centered octagonal number.

It is an amenable number.

157828969 is a deficient number, since it is larger than the sum of its proper divisors (10057358).

157828969 is an frugal number, since it uses more digits than its factorization.

157828969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 756 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 55.

The cubic root of 157828969 is about 540.4168808737.

The spelling of 157828969 in words is "one hundred fifty-seven million, eight hundred twenty-eight thousand, nine hundred sixty-nine".