49931 has 6 divisors (see below), whose sum is σ = 58140. Its totient is φ = 42756.

The previous prime is 49927. The next prime is 49937. The reversal of 49931 is 13994.

49931 = T₁₂₆ + T₁₂₇ + ... + T₁₃₁.

It is a happy number.

It is not a de Polignac number, because 49931 - 2² = 49927 is a prime.

It is a super-2 number, since 2×49931² = 4986209522, which contains 22 as substring.

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 49931.

It is not an unprimeable number, because it can be changed into a prime (49937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (9690).

2⁴⁹⁹³¹ is an apocalyptic number.

49931 is a deficient number, since it is larger than the sum of its proper divisors (8209).

49931 is a wasteful number, since it uses less digits than its factorization.

49931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 49931 is about 223.4524557932. The cubic root of 49931 is about 36.8233606401.

Subtracting from 49931 its reverse (13994), we obtain a cube (35937 = 33³).

It can be divided in two parts, 4993 and 1, that added together give a palindrome (4994).

The spelling of 49931 in words is "forty-nine thousand, nine hundred thirty-one".