967405362 has 64 divisors (see below), whose sum is σ = 2448313344. Its totient is φ = 247515840.

The previous prime is 967405333. The next prime is 967405363. The reversal of 967405362 is 263504769.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (967405363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15328 + ... + 46580.

It is an arithmetic number, because the mean of its divisors is an integer number (38254896).

Almost surely, 2^967405362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967405362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224156672).

967405362 is an abundant number, since it is smaller than the sum of its proper divisors (1480907982).

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

967405362 is a wasteful number, since it uses less digits than its factorization.

967405362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31343.

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 967405362 is about 31103.1407095811. The cubic root of 967405362 is about 989.0148898900.

The spelling of 967405362 in words is "nine hundred sixty-seven million, four hundred five thousand, three hundred sixty-two".