312878829 has 16 divisors (see below), whose sum is σ = 449202240. Its totient is φ = 192986880.

The previous prime is 312878801. The next prime is 312878837. The reversal of 312878829 is 928878213.

It is not a de Polignac number, because 312878829 - 2⁷ = 312878701 is a prime.

It is a super-3 number, since 3×312878829³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312878899) 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, 48982 + ... + 54999.

It is an arithmetic number, because the mean of its divisors is an integer number (28075140).

Almost surely, 2^312878829 is an apocalyptic number.

It is an amenable number.

312878829 is a deficient number, since it is larger than the sum of its proper divisors (136323411).

312878829 is a wasteful number, since it uses less digits than its factorization.

312878829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104060.

The product of its digits is 387072, while the sum is 48.

The square root of 312878829 is about 17688.3811865303. The cubic root of 312878829 is about 678.8785067810.

The spelling of 312878829 in words is "three hundred twelve million, eight hundred seventy-eight thousand, eight hundred twenty-nine".