301972 has 12 divisors (see below), whose sum is σ = 576576. Its totient is φ = 137240.

The previous prime is 301949. The next prime is 301979. The reversal of 301972 is 279103.

301972 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3388 + ... + 3475.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2³⁰¹⁹⁷² is an apocalyptic number.

It is an amenable number.

301972 is a deficient number, since it is larger than the sum of its proper divisors (274604).

301972 is a wasteful number, since it uses less digits than its factorization.

301972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 301972 is about 549.5197903625. The cubic root of 301972 is about 67.0896549817.

It can be divided in two parts, 30 and 1972, that added together give a palindrome (2002).

The spelling of 301972 in words is "three hundred one thousand, nine hundred seventy-two".