314672121 has 33 divisors (see below), whose sum is σ = 478559919. Its totient is φ = 206907696.

The previous prime is 314672119. The next prime is 314672123. The reversal of 314672121 is 121276413.

The square root of 314672121 is 17739.

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 (314672119) and next prime (314672123).

It can be written as a sum of positive squares in only one way, i.e., 178623225 + 136048896 = 13365^2 + 11664^2 .

It is not a de Polignac number, because 314672121 - 2¹ = 314672119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314672123) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 4310541 + ... + 4310613.

Almost surely, 2^314672121 is an apocalyptic number.

314672121 is the 17739-th square number.

314672121 is the 8870-th centered octagonal number.

It is an amenable number.

314672121 is a deficient number, since it is larger than the sum of its proper divisors (163887798).

314672121 is an frugal number, since it uses more digits than its factorization.

314672121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 76 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The cubic root of 314672121 is about 680.1730535625.

The spelling of 314672121 in words is "three hundred fourteen million, six hundred seventy-two thousand, one hundred twenty-one".