81854037 has 32 divisors (see below), whose sum is σ = 126748800. Its totient is φ = 52141824.

The previous prime is 81853973. The next prime is 81854041. The reversal of 81854037 is 73045818.

81854037 is a `hidden beast` number, since 81 + 8 + 540 + 37 = 666.

It is not a de Polignac number, because 81854037 - 2⁶ = 81853973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81853992 and 81854010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81854057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83293 + ... + 84269.

It is an arithmetic number, because the mean of its divisors is an integer number (3960900).

Almost surely, 2^81854037 is an apocalyptic number.

81854037 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

81854037 is a deficient number, since it is larger than the sum of its proper divisors (44894763).

81854037 is a wasteful number, since it uses less digits than its factorization.

81854037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 81854037 is about 9047.3220899888. The cubic root of 81854037 is about 434.1902176078.

The spelling of 81854037 in words is "eighty-one million, eight hundred fifty-four thousand, thirty-seven".