946572 has 48 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 280000.

The previous prime is 946549. The next prime is 946573. The reversal of 946572 is 275649.

946572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (946573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322 + ... + 9422.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2⁹⁴⁶⁵⁷² 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 946572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

946572 is an abundant number, since it is smaller than the sum of its proper divisors (1521012).

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

946572 is a wasteful number, since it uses less digits than its factorization.

946572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 946572 is about 972.9193183404. The cubic root of 946572 is about 98.1863730896.

Adding to 946572 its reverse (275649), we get a palindrome (1222221).

It can be divided in two parts, 94 and 6572, that added together give a palindrome (6666).

The spelling of 946572 in words is "nine hundred forty-six thousand, five hundred seventy-two".