34624001 has 2 divisors, whose sum is σ = 34624002. Its totient is φ = 34624000.

The previous prime is 34623961. The next prime is 34624003. The reversal of 34624001 is 10042643.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33466225 + 1157776 = 5785^2 + 1076^2 .

It is a cyclic number.

It is not a de Polignac number, because 34624001 - 2¹⁰ = 34622977 is a prime.

Together with 34624003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34624003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17312000 + 17312001.

It is an arithmetic number, because the mean of its divisors is an integer number (17312001).

Almost surely, 2^34624001 is an apocalyptic number.

It is an amenable number.

34624001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34624001 is an equidigital number, since it uses as much as digits as its factorization.

34624001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34624001 is about 5884.2162604717. The cubic root of 34624001 is about 325.9310611123.

Adding to 34624001 its reverse (10042643), we get a palindrome (44666644).

The spelling of 34624001 in words is "thirty-four million, six hundred twenty-four thousand, one".