1947972 has 24 divisors (see below), whose sum is σ = 4895296. Its totient is φ = 599328.

The previous prime is 1947971. The next prime is 1947973. The reversal of 1947972 is 2797491.

It is an interprime number because it is at equal distance from previous prime (1947971) and next prime (1947973).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1947972.

It is not an unprimeable number, because it can be changed into a prime (1947971) 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 7 ways as a sum of consecutive naturals, for example, 6088 + ... + 6399.

2^1947972 is an apocalyptic number.

1947972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1947972 is an abundant number, since it is smaller than the sum of its proper divisors (2947324).

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

1947972 is a wasteful number, since it uses less digits than its factorization.

1947972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12505 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 1947972 is about 1395.6976749999. The cubic root of 1947972 is about 124.8899725134.

The spelling of 1947972 in words is "one million, nine hundred forty-seven thousand, nine hundred seventy-two".