67313961 has 48 divisors (see below), whose sum is σ = 115245312. Its totient is φ = 37324800.

The previous prime is 67313929. The next prime is 67313977. The reversal of 67313961 is 16931376.

It is not a de Polignac number, because 67313961 - 2⁵ = 67313929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67313921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248256 + ... + 248526.

It is an arithmetic number, because the mean of its divisors is an integer number (2400944).

Almost surely, 2^67313961 is an apocalyptic number.

It is an amenable number.

67313961 is a deficient number, since it is larger than the sum of its proper divisors (47931351).

67313961 is a wasteful number, since it uses less digits than its factorization.

67313961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 67313961 is about 8204.5085776054. The cubic root of 67313961 is about 406.7882334609.

It can be divided in two parts, 67 and 313961, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 67313961 in words is "sixty-seven million, three hundred thirteen thousand, nine hundred sixty-one".