961241292 has 72 divisors (see below), whose sum is σ = 2667751632. Its totient is φ = 289411200.

The previous prime is 961241287. The next prime is 961241299. The reversal of 961241292 is 292142169.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (961241299) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54442 + ... + 69902.

It is an arithmetic number, because the mean of its divisors is an integer number (37052106).

Almost surely, 2^961241292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961241292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333875816).

961241292 is an abundant number, since it is smaller than the sum of its proper divisors (1706510340).

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

961241292 is a wasteful number, since it uses less digits than its factorization.

961241292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15639 (or 15634 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 961241292 is about 31003.8915621894. The cubic root of 961241292 is about 986.9098256817.

The spelling of 961241292 in words is "nine hundred sixty-one million, two hundred forty-one thousand, two hundred ninety-two".