961713 has 20 divisors (see below), whose sum is σ = 1486848. Its totient is φ = 618840.

The previous prime is 961703. The next prime is 961729. The reversal of 961713 is 317169.

It is not a de Polignac number, because 961713 - 2⁹ = 961201 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (961703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2320 + ... + 2702.

2⁹⁶¹⁷¹³ is an apocalyptic number.

961713 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

961713 is a deficient number, since it is larger than the sum of its proper divisors (525135).

961713 is a wasteful number, since it uses less digits than its factorization.

961713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

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

The square root of 961713 is about 980.6696691547. The cubic root of 961713 is about 98.7071234038.

The spelling of 961713 in words is "nine hundred sixty-one thousand, seven hundred thirteen".