312949 has 16 divisors (see below), whose sum is σ = 407680. Its totient is φ = 233280.

The previous prime is 312943. The next prime is 312967. The reversal of 312949 is 949213.

It is a happy number.

312949 is nontrivially palindromic in base 12.

It is a cyclic number.

It is not a de Polignac number, because 312949 - 2³ = 312941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639 + ... + 1819.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2³¹²⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

312949 is a deficient number, since it is larger than the sum of its proper divisors (94731).

312949 is a wasteful number, since it uses less digits than its factorization.

312949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its digits is 1944, while the sum is 28.

The square root of 312949 is about 559.4184480333. The cubic root of 312949 is about 67.8929254886.

It can be divided in two parts, 31 and 2949, that multiplied together give a palindrome (91419).

The spelling of 312949 in words is "three hundred twelve thousand, nine hundred forty-nine".