1673129952 has 96 divisors (see below), whose sum is σ = 5255379360. Its totient is φ = 514805760.

The previous prime is 1673129951. The next prime is 1673129971. The reversal of 1673129952 is 2599213761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1673129898 and 1673129907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673129951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63249 + ... + 85712.

It is an arithmetic number, because the mean of its divisors is an integer number (54743535).

Almost surely, 2^1673129952 is an apocalyptic number.

1673129952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1673129952 is an abundant number, since it is smaller than the sum of its proper divisors (3582249408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1673129952 is a wasteful number, since it uses less digits than its factorization.

1673129952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148993 (or 148979 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1673129952 is about 40903.9112066316. The cubic root of 1673129952 is about 1187.1617390309.

The spelling of 1673129952 in words is "one billion, six hundred seventy-three million, one hundred twenty-nine thousand, nine hundred fifty-two".