74613 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 34560.

The previous prime is 74611. The next prime is 74623. The reversal of 74613 is 31647.

74613 is a nontrivial binomial coefficient, being equal to C(22, 6).

It is not a de Polignac number, because 74613 - 2¹ = 74611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

74613 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 74613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74611) 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, 3918 + ... + 3936.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁷⁴⁶¹³ is an apocalyptic number.

It is an amenable number.

74613 is a deficient number, since it is larger than the sum of its proper divisors (63627).

74613 is a wasteful number, since it uses less digits than its factorization.

74613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57.

The product of its digits is 504, while the sum is 21.

The square root of 74613 is about 273.1538028291. The cubic root of 74613 is about 42.0989729364.

74613 divided by its sum of digits (21) gives a palindrome (3553).

The spelling of 74613 in words is "seventy-four thousand, six hundred thirteen".