315098001 has 27 divisors (see below), whose sum is σ = 467544753. Its totient is φ = 204491520.

The previous prime is 315097973. The next prime is 315098029. The reversal of 315098001 is 100890513.

The square root of 315098001 is 17751.

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

It is an interprime number because it is at equal distance from previous prime (315097973) and next prime (315098029).

It can be written as a sum of positive squares in 4 ways, for example, as 116964225 + 198133776 = 10815^2 + 14076^2 .

It is not a de Polignac number, because 315098001 - 2¹¹ = 315095953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315098081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3248385 + ... + 3248481.

Almost surely, 2^315098001 is an apocalyptic number.

315098001 is the 17751-st square number.

315098001 is the 8876-th centered octagonal number.

It is an amenable number.

315098001 is a deficient number, since it is larger than the sum of its proper divisors (152446752).

315098001 is an frugal number, since it uses more digits than its factorization.

315098001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The cubic root of 315098001 is about 680.4797659543.

The spelling of 315098001 in words is "three hundred fifteen million, ninety-eight thousand, one".