37821132 has 36 divisors (see below), whose sum is σ = 96956496. Its totient is φ = 12428640.

The previous prime is 37821127. The next prime is 37821137. The reversal of 37821132 is 23112873.

It is an interprime number because it is at equal distance from previous prime (37821127) and next prime (37821137).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×37821132² = 2860876051522848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37821096 and 37821105.

It is not an unprimeable number, because it can be changed into a prime (37821137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4843 + ... + 9954.

It is an arithmetic number, because the mean of its divisors is an integer number (2693236).

Almost surely, 2^37821132 is an apocalyptic number.

It is an amenable number.

37821132 is an abundant number, since it is smaller than the sum of its proper divisors (59135364).

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

37821132 is a wasteful number, since it uses less digits than its factorization.

37821132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878 (or 14873 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 37821132 is about 6149.8887794821. Note that the first 3 decimals coincide. The cubic root of 37821132 is about 335.6692110127.

The spelling of 37821132 in words is "thirty-seven million, eight hundred twenty-one thousand, one hundred thirty-two".