93381000 has 128 divisors (see below), whose sum is σ = 308655360. Its totient is φ = 23424000.

The previous prime is 93380999. The next prime is 93381023. The reversal of 93381000 is 18339.

It is a super-2 number, since 2×93381000² = 17440022322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50085 + ... + 51915.

It is an arithmetic number, because the mean of its divisors is an integer number (2411370).

Almost surely, 2^93381000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154327680).

93381000 is an abundant number, since it is smaller than the sum of its proper divisors (215274360).

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

93381000 is a wasteful number, since it uses less digits than its factorization.

93381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 93381000 is about 9663.3845002670. The cubic root of 93381000 is about 453.6833489668.

Adding to 93381000 its reverse (18339), we get a palindrome (93399339).

The spelling of 93381000 in words is "ninety-three million, three hundred eighty-one thousand".