736713 has 12 divisors (see below), whose sum is σ = 1110720. Its totient is φ = 469656.

The previous prime is 736699. The next prime is 736717. The reversal of 736713 is 317637.

736713 = 152² + 153² + ... + 178².

It is not a de Polignac number, because 736713 - 2¹⁰ = 735689 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (736717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1573 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (92560).

2⁷³⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

736713 is a deficient number, since it is larger than the sum of its proper divisors (374007).

736713 is a wasteful number, since it uses less digits than its factorization.

736713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3585 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 736713 is about 858.3198704446. The cubic root of 736713 is about 90.3162945249.

It can be divided in two parts, 73 and 6713, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 736713 in words is "seven hundred thirty-six thousand, seven hundred thirteen".