31461 has 4 divisors (see below), whose sum is σ = 41952. Its totient is φ = 20972.

The previous prime is 31397. The next prime is 31469. The reversal of 31461 is 16413.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16413 = 3 ⋅5471.

It is a cyclic number.

It is not a de Polignac number, because 31461 - 2⁶ = 31397 is a prime.

It is a D-number.

It is a self number, because there is not a number n which added to its sum of digits gives 31461.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31461.

It is not an unprimeable number, because it can be changed into a prime (31469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5241 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (10488).

2³¹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

31461 is a deficient number, since it is larger than the sum of its proper divisors (10491).

31461 is a wasteful number, since it uses less digits than its factorization.

31461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490.

The product of its digits is 72, while the sum is 15.

The square root of 31461 is about 177.3724894114. The cubic root of 31461 is about 31.5687588477.

Adding to 31461 its reverse (16413), we get a palindrome (47874).

The spelling of 31461 in words is "thirty-one thousand, four hundred sixty-one".