111629641 has 2 divisors, whose sum is σ = 111629642. Its totient is φ = 111629640.

The previous prime is 111629611. The next prime is 111629657. The reversal of 111629641 is 146926111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84548025 + 27081616 = 9195^2 + 5204^2 .

It is an emirp because it is prime and its reverse (146926111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111629641 - 2⁹ = 111629129 is a prime.

It is a super-2 number, since 2×111629641² = 24922353499577762, which contains 22 as substring.

It is equal to p_6391057 and since 111629641 and 6391057 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (111629611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55814820 + 55814821.

It is an arithmetic number, because the mean of its divisors is an integer number (55814821).

Almost surely, 2^111629641 is an apocalyptic number.

It is an amenable number.

111629641 is a deficient number, since it is larger than the sum of its proper divisors (1).

111629641 is an equidigital number, since it uses as much as digits as its factorization.

111629641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 31.

The square root of 111629641 is about 10565.4929369150. The cubic root of 111629641 is about 481.4965459384.

The spelling of 111629641 in words is "one hundred eleven million, six hundred twenty-nine thousand, six hundred forty-one".