961537 has 8 divisors (see below), whose sum is σ = 1027296. Its totient is φ = 896832.

The previous prime is 961531. The next prime is 961547. The reversal of 961537 is 735169.

961537 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 961537 - 2³ = 961529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 961499 and 961508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 2944.

It is an arithmetic number, because the mean of its divisors is an integer number (128412).

It is a Proth number, since it is equal to 939 ⋅ 2¹⁰ + 1 and 939 < 2¹⁰.

2⁹⁶¹⁵³⁷ is an apocalyptic number.

It is an amenable number.

961537 is a deficient number, since it is larger than the sum of its proper divisors (65759).

961537 is a wasteful number, since it uses less digits than its factorization.

961537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its digits is 5670, while the sum is 31.

The square root of 961537 is about 980.5799304493. The cubic root of 961537 is about 98.7011016788.

The spelling of 961537 in words is "nine hundred sixty-one thousand, five hundred thirty-seven".