101397667 has 8 divisors (see below), whose sum is σ = 116316000. Its totient is φ = 86587584.

The previous prime is 101397641. The next prime is 101397679. The reversal of 101397667 is 766793101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101397667 - 2¹⁹ = 100873379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101307667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25042 + ... + 28807.

It is an arithmetic number, because the mean of its divisors is an integer number (14539500).

Almost surely, 2^101397667 is an apocalyptic number.

101397667 is a deficient number, since it is larger than the sum of its proper divisors (14918333).

101397667 is an equidigital number, since it uses as much as digits as its factorization.

101397667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54125.

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 101397667 is about 10069.6408575480. The cubic root of 101397667 is about 466.3113513606.

The spelling of 101397667 in words is "one hundred one million, three hundred ninety-seven thousand, six hundred sixty-seven".