321361952 has 18 divisors (see below), whose sum is σ = 632881053. Its totient is φ = 160630272.

The previous prime is 321361951. The next prime is 321361961. The reversal of 321361952 is 259163123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 282374416 + 38987536 = 16804^2 + 6244^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12676.

It is a super-4 number, since 4×321361952⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321361951) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 99824 + ... + 102992.

Almost surely, 2^321361952 is an apocalyptic number.

321361952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321361952 is a deficient number, since it is larger than the sum of its proper divisors (311519101).

321361952 is an frugal number, since it uses more digits than its factorization.

321361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 3171 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 321361952 is about 17926.5711166414. The cubic root of 321361952 is about 684.9593823928.

Multiplying 321361952 by its sum of digits (32), we get a square (10283582464 = 101408²).

321361952 divided by its sum of digits (32) gives a square (10042561 = 3169²).

The spelling of 321361952 in words is "three hundred twenty-one million, three hundred sixty-one thousand, nine hundred fifty-two".