61931007 has 32 divisors (see below), whose sum is σ = 96307200. Its totient is φ = 39286944.

The previous prime is 61931003. The next prime is 61931011. The reversal of 61931007 is 70013916.

It is an interprime number because it is at equal distance from previous prime (61931003) and next prime (61931011).

It is not a de Polignac number, because 61931007 - 2² = 61931003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61931003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46294 + ... + 47612.

It is an arithmetic number, because the mean of its divisors is an integer number (3009600).

Almost surely, 2^61931007 is an apocalyptic number.

61931007 is a deficient number, since it is larger than the sum of its proper divisors (34376193).

61931007 is a wasteful number, since it uses less digits than its factorization.

61931007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 61931007 is about 7869.6255946519. The cubic root of 61931007 is about 395.6422963620.

It can be divided in two parts, 619 and 31007, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 61931007 in words is "sixty-one million, nine hundred thirty-one thousand, seven".