75007973 has 2 divisors, whose sum is σ = 75007974. Its totient is φ = 75007972.

The previous prime is 75007967. The next prime is 75007997. The reversal of 75007973 is 37970057.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64032004 + 10975969 = 8002^2 + 3313^2 .

It is an emirp because it is prime and its reverse (37970057) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75007973 - 2¹⁶ = 74942437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75007903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37503986 + 37503987.

It is an arithmetic number, because the mean of its divisors is an integer number (37503987).

Almost surely, 2^75007973 is an apocalyptic number.

It is an amenable number.

75007973 is a deficient number, since it is larger than the sum of its proper divisors (1).

75007973 is an equidigital number, since it uses as much as digits as its factorization.

75007973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46305, while the sum is 38.

The square root of 75007973 is about 8660.7143469809. The cubic root of 75007973 is about 421.7312758739.

The spelling of 75007973 in words is "seventy-five million, seven thousand, nine hundred seventy-three".