961362 has 32 divisors (see below), whose sum is σ = 2251200. Its totient is φ = 303264.

The previous prime is 961339. The next prime is 961393. The reversal of 961362 is 263169.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961362.

It is an unprimeable number.

961362 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 558 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (70350).

2⁹⁶¹³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125600).

961362 is an abundant number, since it is smaller than the sum of its proper divisors (1289838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961362 is a wasteful number, since it uses less digits than its factorization.

961362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

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

The square root of 961362 is about 980.4906934795. The cubic root of 961362 is about 98.6951134396.

The spelling of 961362 in words is "nine hundred sixty-one thousand, three hundred sixty-two".