312929101 has 8 divisors (see below), whose sum is σ = 315241784. Its totient is φ = 310625280.

The previous prime is 312929083. The next prime is 312929117. The reversal of 312929101 is 101929213.

It can be written as a sum of positive squares in 4 ways, for example, as 145226601 + 167702500 = 12051^2 + 12950^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312929101 - 2¹⁵ = 312896333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312929101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312929131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79291 + ... + 83143.

It is an arithmetic number, because the mean of its divisors is an integer number (39405223).

Almost surely, 2^312929101 is an apocalyptic number.

It is an amenable number.

312929101 is a deficient number, since it is larger than the sum of its proper divisors (2312683).

312929101 is a wasteful number, since it uses less digits than its factorization.

312929101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 312929101 is about 17689.8021752647. The cubic root of 312929101 is about 678.9148645756.

The spelling of 312929101 in words is "three hundred twelve million, nine hundred twenty-nine thousand, one hundred one".