101627713 has 16 divisors (see below), whose sum is σ = 117100800. Its totient is φ = 87227280.

The previous prime is 101627689. The next prime is 101627737. The reversal of 101627713 is 317726101.

It is an interprime number because it is at equal distance from previous prime (101627689) and next prime (101627737).

It is a cyclic number.

It is not a de Polignac number, because 101627713 - 2¹³ = 101619521 is a prime.

It is a super-2 number, since 2×101627713² = 20656384099220738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101627783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78570 + ... + 79852.

It is an arithmetic number, because the mean of its divisors is an integer number (7318800).

Almost surely, 2^101627713 is an apocalyptic number.

It is an amenable number.

101627713 is a deficient number, since it is larger than the sum of its proper divisors (15473087).

101627713 is a wasteful number, since it uses less digits than its factorization.

101627713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 101627713 is about 10081.0571370269. The cubic root of 101627713 is about 466.6637330314.

The spelling of 101627713 in words is "one hundred one million, six hundred twenty-seven thousand, seven hundred thirteen".