37828947 has 16 divisors (see below), whose sum is σ = 54440960. Its totient is φ = 23226912.

The previous prime is 37828919. The next prime is 37828957. The reversal of 37828947 is 74982873.

It is not a de Polignac number, because 37828947 - 2⁶ = 37828883 is a prime.

It is a super-2 number, since 2×37828947² = 2862058462257618, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37828896 and 37828905.

It is not an unprimeable number, because it can be changed into a prime (37828957) 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 15 ways as a sum of consecutive naturals, for example, 23358 + ... + 24924.

It is an arithmetic number, because the mean of its divisors is an integer number (3402560).

Almost surely, 2^37828947 is an apocalyptic number.

37828947 is a deficient number, since it is larger than the sum of its proper divisors (16612013).

37828947 is a wasteful number, since it uses less digits than its factorization.

37828947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202.

The product of its digits is 677376, while the sum is 48.

The square root of 37828947 is about 6150.5241240076. The cubic root of 37828947 is about 335.6923292545.

The spelling of 37828947 in words is "thirty-seven million, eight hundred twenty-eight thousand, nine hundred forty-seven".