61459965 has 120 divisors (see below), whose sum is σ = 135732960. Its totient is φ = 26453952.

The previous prime is 61459939. The next prime is 61460027. The reversal of 61459965 is 56995416.

It is a happy number.

It is not a de Polignac number, because 61459965 - 2¹¹ = 61457917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 61459965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 376974 + ... + 377136.

It is an arithmetic number, because the mean of its divisors is an integer number (1131108).

Almost surely, 2^61459965 is an apocalyptic number.

It is an amenable number.

61459965 is an abundant number, since it is smaller than the sum of its proper divisors (74272995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61459965 is a wasteful number, since it uses less digits than its factorization.

61459965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 61459965 is about 7839.6406167630. The cubic root of 61459965 is about 394.6366685176.

It can be divided in two parts, 6145 and 9965, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 61459965 in words is "sixty-one million, four hundred fifty-nine thousand, nine hundred sixty-five".