962361 has 15 divisors (see below), whose sum is σ = 1450911. Its totient is φ = 635688.

The previous prime is 962341. The next prime is 962363. The reversal of 962361 is 163269.

It is a happy number.

The square root of 962361 is 981.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 291600 = 819^2 + 540^2 .

It is not a de Polignac number, because 962361 - 2⁷ = 962233 is a prime.

It is a super-2 number, since 2×962361² = 1852277388642, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 962361.

It is not an unprimeable number, because it can be changed into a prime (962363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8775 + ... + 8883.

962361 is a Friedman number, since it can be written as (9*(6*6*3+1))^2, using all its digits and the basic arithmetic operations.

2⁹⁶²³⁶¹ is an apocalyptic number.

962361 is the 981-st square number.

962361 is the 491-st centered octagonal number.

It is an amenable number.

962361 is a deficient number, since it is larger than the sum of its proper divisors (488550).

962361 is an equidigital number, since it uses as much as digits as its factorization.

962361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The cubic root of 962361 is about 98.7292879704.

The spelling of 962361 in words is "nine hundred sixty-two thousand, three hundred sixty-one".