83377338 has 32 divisors (see below), whose sum is σ = 182250432. Its totient is φ = 25219200.

The previous prime is 83377337. The next prime is 83377361.

It is a happy number.

83377338 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 83377338.

It is not an unprimeable number, because it can be changed into a prime (83377337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55558 + ... + 57038.

It is an arithmetic number, because the mean of its divisors is an integer number (5695326).

Almost surely, 2^83377338 is an apocalyptic number.

83377338 is an abundant number, since it is smaller than the sum of its proper divisors (98873094).

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

83377338 is a wasteful number, since it uses less digits than its factorization.

83377338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350.

The product of its digits is 254016, while the sum is 42.

The square root of 83377338 is about 9131.1192085089. The cubic root of 83377338 is about 436.8671020735.

The spelling of 83377338 in words is "eighty-three million, three hundred seventy-seven thousand, three hundred thirty-eight".