1972126845 has 160 divisors (see below), whose sum is σ = 4035677184. Its totient is φ = 914457600.

The previous prime is 1972126841. The next prime is 1972126867. The reversal of 1972126845 is 5486212791.

It is not a de Polignac number, because 1972126845 - 2² = 1972126841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1972126845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972126841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7018105 + ... + 7018385.

Almost surely, 2^1972126845 is an apocalyptic number.

1972126845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1972126845 is an abundant number, since it is smaller than the sum of its proper divisors (2063550339).

1972126845 is a wasteful number, since it uses less digits than its factorization.

1972126845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1972126845 is about 44408.6348022544. The cubic root of 1972126845 is about 1254.0406513687.

The spelling of 1972126845 in words is "one billion, nine hundred seventy-two million, one hundred twenty-six thousand, eight hundred forty-five".