37206166321 has 3 divisors (see below), whose sum is σ = 37206359211. Its totient is φ = 37205973432.

The previous prime is 37206166247. The next prime is 37206166343. The reversal of 37206166321 is 12366160273.

The square root of 37206166321 is 192889.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 12366160273 = 2897 ⋅4268609.

It can be written as a sum of positive squares in only one way, i.e., 14199343921 + 23006822400 = 119161^2 + 151680^2 .

It is not a de Polignac number, because 37206166321 - 2³³ = 28616231729 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37206166381) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 96445 + ... + 289333.

It is an arithmetic number, because the mean of its divisors is an integer number (12402119737).

Almost surely, 2^37206166321 is an apocalyptic number.

37206166321 is the 192889-th square number.

37206166321 is the 96445-th centered octagonal number.

It is an amenable number.

37206166321 is a deficient number, since it is larger than the sum of its proper divisors (192890).

37206166321 is an frugal number, since it uses more digits than its factorization.

37206166321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385778 (or 192889 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 37206166321 in words is "thirty-seven billion, two hundred six million, one hundred sixty-six thousand, three hundred twenty-one".