61312 has 16 divisors (see below), whose sum is σ = 122400. Its totient is φ = 30592.

The previous prime is 61297. The next prime is 61331. The reversal of 61312 is 21316.

61312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×61312² = 7518322688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61292 and 61301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2⁶¹³¹² is an apocalyptic number.

It is an amenable number.

61312 is a deficient number, since it is larger than the sum of its proper divisors (61088).

61312 is an equidigital number, since it uses as much as digits as its factorization.

61312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 61312 is about 247.6126006487. The cubic root of 61312 is about 39.4319717814.

Adding to 61312 its reverse (21316), we get a palindrome (82628).

It can be divided in two parts, 613 and 12, that added together give a 4-th power (625 = 5⁴).

The spelling of 61312 in words is "sixty-one thousand, three hundred twelve".