953946 has 48 divisors (see below), whose sum is σ = 2418624. Its totient is φ = 266112.

The previous prime is 953941. The next prime is 953969. The reversal of 953946 is 649359.

It is a self number, because there is not a number n which added to its sum of digits gives 953946.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 953946.

It is not an unprimeable number, because it can be changed into a prime (953941) by changing a digit.

953946 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 23 ways as a sum of consecutive naturals, for example, 8386 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (50388).

2⁹⁵³⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209312).

953946 is an abundant number, since it is smaller than the sum of its proper divisors (1464678).

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

953946 is a wasteful number, since it uses less digits than its factorization.

953946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 953946 is about 976.7015920945. The cubic root of 953946 is about 98.4406782043.

The spelling of 953946 in words is "nine hundred fifty-three thousand, nine hundred forty-six".