23782101 has 12 divisors (see below), whose sum is σ = 36886752. Its totient is φ = 13589688.

The previous prime is 23782079. The next prime is 23782127. The reversal of 23782101 is 10128732.

It is not a de Polignac number, because 23782101 - 2⁷ = 23781973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23782181) 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, 80745 + ... + 81038.

It is an arithmetic number, because the mean of its divisors is an integer number (3073896).

Almost surely, 2^23782101 is an apocalyptic number.

23782101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23782101 is a deficient number, since it is larger than the sum of its proper divisors (13104651).

23782101 is a wasteful number, since it uses less digits than its factorization.

23782101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161800 (or 161793 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 23782101 is about 4876.6895533753. The cubic root of 23782101 is about 287.5743011489.

The spelling of 23782101 in words is "twenty-three million, seven hundred eighty-two thousand, one hundred one".