61131 has 16 divisors (see below), whose sum is σ = 96768. Its totient is φ = 33600.

The previous prime is 61129. The next prime is 61141. The reversal of 61131 is 13116.

It is not a de Polignac number, because 61131 - 2¹ = 61129 is a prime.

It is a super-2 number, since 2×61131² = 7473998322, which contains 22 as substring.

It is an Ulam number.

61131 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁶¹¹³¹ is an apocalyptic number.

61131 is a deficient number, since it is larger than the sum of its proper divisors (35637).

61131 is a wasteful number, since it uses less digits than its factorization.

61131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 18, while the sum is 12.

The square root of 61131 is about 247.2468402225. The cubic root of 61131 is about 39.3931309798.

Adding to 61131 its reverse (13116), we get a palindrome (74247).

It can be divided in two parts, 6 and 1131, that multiplied together give a triangular number (6786 = T₁₁₆).

The spelling of 61131 in words is "sixty-one thousand, one hundred thirty-one".